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Finding the Fourth Proportional to 52.25, 77.96 and 45.36

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Solution

The fourth proportional to 52.25, 77.96 and 45.36 is: 67.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.25 : 77.96 = 45.36 : x
  2. Step 2: Convert to fraction form
    52.25/77.96 = 45.36/x
  3. Step 3: Cross multiply
    52.25x = 77.96 × 45.36
  4. Step 4: Simplify right side
    52.25x = 3,536.38
  5. Step 5: Solve for x
    x = 3,536.38/52.25
  6. Step 6: Final answer
    x = 67.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.